| Abstract: | Recursive algorithms for estimating states of nonlinear physical systems are presented. Orthogonality properties are rediscovered and the associated polynomials are used to linearize state and observation models of the underlying random processes. This requires some key hypotheses regarding the structure of these processes, which may then take account of a wide range of applications. The latter include streamflow forecasting, flood estimation, environmental protection, earthquake engineering, and mine planning. The proposed estimation algorithm may be compared favorably to Taylor series-type filters, nonlinear filters which approximate the probability density by Edgeworth or Gram-Charlier series, as well as to conventional statistical linearization-type estimators. Moreover, the method has several advantages over nonrecursive estimators like disjunctive kriging. To link theory with practice, some numerical results for a simulated system are presented, in which responses from the proposed and extended Kalman algorithms are compared. ?? 1988 International Association for Mathematical Geology. |
| Genre: | Article |
| ProdID: | 70013645 |
| Citation Author: | Christakos, G. |
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| Citation End Page: | 133 |
| Citation Issue: | 2 |
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| Citation Language: | English |
| Citation Larger Work Title: | Mathematical Geology |
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| Citation Number Of Pages: | 23 |
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| Citation Search Results Text: | On-line estimation of nonlinear physical systems; 1988; Article; Journal; Mathematical Geology; Christakos, G. |
| Citation Start Page: | 111 |
| Citation Volume: | 20 |
| Citation Year: | 1988 |
| Type: | citation/reference |
| Text: | On-line estimation of nonlinear physical systems; 1988; Article; Journal; Mathematical Geology; Christakos, G. |
| URL (THUMBNAIL): | http://pubs.er.usgs.gov/thumbnails/outside_thumb.jpg |
| URL (DIGITAL OBJECT IDENTIFIER): | http://dx.doi.org/10.1007/BF00918881 |
| Date Other: | Fri, 1 Jan 1988 00:00 -0600 |
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